Allen Knutson
Geometry and Topology · 2000–2010
A researcher in the Science corpus: 9 papers; trusts 12 researchers and is trusted by 34 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 48 citations into it; #454 of 7,422 by trust here, #382 by citations
- Discrete Mathematics and Combinatorics — 40 citations into it; #82 of 2,017 by trust here, #49 by citations
- Mathematical Physics — 31 citations into it; #2,526 of 8,562 by trust here, #1,020 by citations
- Algebra and Number Theory — 20 citations into it; #226 of 2,864 by trust here, #265 by citations
- Computational Theory and Mathematics — 13 citations into it; #5,930 of 12,182 by trust here, #10,901 by citations
Whom Allen Knutson trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- K. Rietsch
- John R. Stembridge
- Anders Skovsted Buch
- Ezra Miller
- Kohji Yanagawa
- M. Brion
- Mikhail Kogan
- Sara C. Billey
- Karl Schwede
- Thomas Lam
Who trusts Allen Knutson overall
- Takeshi Ikeda
- Thomas Lam
- Julianna Tymoczko
- Aldo Conca
- David Anderson
- Sara C. Billey
- Megumi Harada
- Mikhail Kogan
- Izzet Coskun
- Nicolas Ressayre
Papers from Allen Knutson's perspective
Ordered by how strongly the researchers Allen Knutson trusts endorse each paper. Same corpus, a different order for every researcher.
- Singular Loci of Schubert Varieties
- On the quantum product of Schubert classes
- A Littlewood-Richardson rule for theK-theory of Grassmannians
- Positivity in the Grothendieck group of complex flag varieties
- Toric degeneration of Schubert varieties and Gelfand¿Tsetlin polytopes
- Schubert Geometry of Flag Varieties and Gelfand-Cetlin Theory
- The Alexander Duality Functors and Local Duality with Monomial Support
- Alexander Duality for Stanley–Reisner Rings and Squarefree Nn-Graded Modules
- Minuscule elements of Weyl groups
- Closure relations for totally nonnegative cells in G/P
Their papers
- Frobenius splitting, point-counting, and degeneration (2009) — 58 citations
- Projections of Richardson Varieties (2010) — 96 citations
- Positroid varieties: juggling and geometry (2009) — 235 citations
- Gröbner geometry of vertex decompositions and of flagged tableaux (2005) — 136 citations
- Four positive formulae for type A quiver polynomials (2003) — 74 citations
- Puzzles and (equivariant) cohomology of Grassmannians (2001) — 252 citations
- Gröbner geometry of Schubert polynomials (2001) — 393 citations
- The honeycomb model of _{}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone (2001) — 284 citations
- Honeycombs and sums of Hermitian matrices (2000) — 210 citations